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Finding the Third Proportional to 47,275,143 and 103,518,354

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Solution

The third proportional to 47,275,143 and 103,518,354 is: 226,674,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,143 : 103,518,354 = 103,518,354 : x
  2. Step 2: Convert to fraction form
    47,275,143/103,518,354 = 103,518,354/x
  3. Step 3: Cross multiply
    47,275,143x = 103,518,354 × 103,518,354
  4. Step 4: Simplify right side
    47,275,143x = 10,716,049,614,869,316
  5. Step 5: Solve for x
    x = 10,716,049,614,869,316/47,275,143
  6. Step 6: Final answer
    x = 226,674,081.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.